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A285565 0-limiting word of the morphism 0->11, 1-> 0110. 6
0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET
1
COMMENTS
The morphism 0->11, 1-> 0110 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01100110; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01100110 -> 110110011011110110011011, as in A285568. See A285567 for a connection to the golden ratio.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 8] (* A285565 *)
Flatten[Position[s, 0]] (* A285566 *)
Flatten[Position[s, 1]] (* A285567 *)
CROSSREFS
Sequence in context: A246146 A191162 A234046 * A188076 A189011 A189135
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 30 2017
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)